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On the interpretation of fuzzy if then rules

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Abstract

The basic algorithm for reasoning in the fuzzy systems modeling method is introduced. Two classes of operators for interpreting the rules in these models are described, the Mamdani-Zadeh operator and the logical operator. The basic characteristics of these operators are presented and it is shown that the two classes of operators are distinguished by their response to a zero firing level. A class of Mamdani-Zadeh operators based upon the residuation operation is presented. A comparison is made between the performance of these residuation based Mamdani-Zadeh operators and the standard Mamdani-Zadeh operators derived from the t-norm. A new class of Mamdani-Zadeh operators based upon a generalization of the bounded difference is presented.

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  1. Machine Intelligence Institute, Iona College, 10801, New Rochelle, NY

    Ronald R. Yager

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  1. Ronald R. Yager
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Yager, R.R. On the interpretation of fuzzy if then rules. Appl Intell 6, 141–151 (1996). https://doi.org/10.1007/BF00117814

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  • DOI: https://doi.org/10.1007/BF00117814

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